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Peterson's mutual exclusion algorithm for two processes has been generalized to $N$ processes in various ways. As far as we know, no such generalization is starvation free without making any fairness assumptions. In this paper, we study the…

Logic in Computer Science · Computer Science 2025-08-08 Yousra Hafidi , Jeroen J. A. Keiren , Jan Friso Groote

Modern concurrent programming benefits from a large variety of synchronization techniques. These include conventional pessimistic locking, as well as optimistic techniques based on conditional synchronization primitives or transactional…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-15 Vincent Gramoli , Petr Kuznetsov , Srivatsan Ravi

This research addresses the multiprocessor scheduling problem of hard real-time systems, and it especially focuses on optimal and global schedulers when practical constraints are taken into account. First, we propose an improvement of the…

Operating Systems · Computer Science 2011-01-25 Shelby Funk , Vincent Nelis , Joel Goossens , Dragomir Milojevic , Geoffrey Nelissen

Lock-free concurrent algorithms guarantee that some concurrent operation will always make progress in a finite number of steps. Yet programmers prefer to treat concurrent code as if it were wait-free, guaranteeing that all operations always…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-18 Dan Alistarh , Keren Censor-Hillel , Nir Shavit

We study \emph{parallel} online algorithms: For some fixed integer $k$, a collective of $k$ parallel processes that perform online decisions on the same sequence of events forms a $k$-\emph{copy algorithm}. For any given time and input…

Data Structures and Algorithms · Computer Science 2019-10-09 Sándor P. Fekete , Jonas Grosse-Holz , Phillip Keldenich , Arne Schmidt

This work addresses the complexities involved in designing distributed quantum algorithms, highlighting that quantum entanglement does not bypass the Fischer-Lynch-Paterson (FLP) impossibility theorem in asynchronous networks. Although…

Quantum Physics · Physics 2024-11-08 Chandrashekar Radhakrishnan , Yuhang Zheng , Olivier Marin

This paper introduces the Furthest Hyperplane Problem (FHP), which is an unsupervised counterpart of Support Vector Machines. Given a set of n points in Rd, the objective is to produce the hyperplane (passing through the origin) which…

Computational Complexity · Computer Science 2012-02-06 Zohar Karnin , Edo Liberty , Shachar Lovett , Roy Schwartz , Omri Weinstein

The atomic register is certainly the most basic object of computing science. Its implementation on top of an n-process asynchronous message-passing system has received a lot of attention. It has been shown that t \textless{} n/2 (where t is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-20 Achour Mostefaoui , Michel Raynal

Consensus enables n processes to agree on a common valid L-bit value, despite t < n/3 processes being faulty and acting arbitrarily. A long line of work has been dedicated to improving the worst-case communication complexity of consensus in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-09 Pierre Civit , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Matteo Monti , Manuel Vidigueira

Column-sparse packing problems arise in several contexts in both deterministic and stochastic discrete optimization. We present two unifying ideas, (non-uniform) attenuation and multiple-chance algorithms, to obtain improved approximation…

Data Structures and Algorithms · Computer Science 2019-08-07 Brian Brubach , Karthik Abinav Sankararaman , Aravind Srinivasan , Pan Xu

The distributed transaction commit problem requires reaching agreement on whether a transaction is committed or aborted. The classic Two-Phase Commit protocol blocks if the coordinator fails. Fault-tolerant consensus algorithms also reach…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Jim Gray , Leslie Lamport

This paper considers the problem of scheduling jobs on single and parallel machines where all the jobs possess different processing times but a common due date. There is a penalty involved with each job if it is processed earlier or later…

Data Structures and Algorithms · Computer Science 2013-11-13 Abhishek Awasthi , Jörg Lässig , Oliver Kramer

Federated learning is a machine learning protocol that enables a large population of agents to collaborate over multiple rounds to produce a single consensus model. There are several federated learning applications where agents may choose…

Machine Learning · Computer Science 2023-11-30 Minbiao Han , Kumar Kshitij Patel , Han Shao , Lingxiao Wang

The nested parallel (a.k.a. fork-join) model is widely used for writing parallel programs. However, the two composition constructs, i.e. "$\parallel$" (parallel) and "$;$" (serial), are insufficient in expressing "partial dependencies" or…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-16 David Dinh , Harsha Vardhan Simhadri , Yuan Tang

We develop an algorithm that finds the consensus of many different clustering solutions of a graph. We formulate the problem as a median set partitioning problem and propose a greedy optimization technique. Unlike other approaches that find…

Information Retrieval · Computer Science 2024-08-22 Md Taufique Hussain , Mahantesh Halappanavar , Samrat Chatterjee , Filippo Radicchi , Santo Fortunato , Ariful Azad

Fault-tolerant distributed systems offer high reliability because even if faults in their components occur, they do not exhibit erroneous behavior. Depending on the fault model adopted, hardware and software errors that do not result in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-19 Rodrigo R. Barbieri , Enrique S. dos Santos , Gustavo M. D. Vieira

In this work, we extend the topology-based approach for characterizing computability in asynchronous crash-failure distributed systems to asynchronous Byzantine systems. We give the first theorem with necessary and sufficient conditions to…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-11 Hammurabi Mendes , Christine Tasson , Maurice Herlihy

Determining the space complexity of $x$-obstruction-free $k$-set agreement for $x\leq k$ is an open problem. In $x$-obstruction-free protocols, processes are required to return in executions where at most $x$ processes take steps. The best…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-11 Faith Ellen , Rati Gelashvili , Leqi Zhu

Clustering with outliers is one of the most fundamental problems in Computer Science. Given a set $X$ of $n$ points and two integers $k$ and $m$, the clustering with outliers aims to exclude $m$ points from $X$ and partition the remaining…

Data Structures and Algorithms · Computer Science 2023-02-21 Akanksha Agrawal , Tanmay Inamdar , Saket Saurabh , Jie Xue

We study the classical scheduling problem on parallel machines %with precedence constraints where the precedence graph has the bounded depth $h$. Our goal is to minimize the maximum completion time. We focus on developing approximation…

Data Structures and Algorithms · Computer Science 2023-02-02 Bin Fu , Yumei Huo , Hairong Zhao